Statistics Calculator

Paste a list of numbers to get the count, mean, median, and both the population and the sample standard deviation.

Open in the full calculator → — with every other tool, the AI tutor and PNG export.

What it asks for

Data (comma/space separated)

The formula

Mean x̄ = (Σx) / n

Median sort the data first, then:
• n odd → the middle value, at position (n + 1)/2
• n even → the average of the two middle values, positions n/2 and n/2 + 1

Mode the value that occurs most often

Population standard deviation σ = √[ Σ(x − μ)² / N ]
Sample standard deviation s = √[ Σ(x − x̄)² / (n − 1) ]

From the article Mean, Median, Mode and Standard Deviation — When to Use Which.

Worked example

Data (monthly incomes of 5 people, in thousands of rupees): 2, 3, 3, 4, 88

Mean = (2 + 3 + 3 + 4 + 88) / 5 = 100 / 5 = 20
Median = middle value of the sorted list, position (5 + 1)/2 = 3rd = 3
Mode = 3

The mean says a typical income is 20 thousand, but four of the five people earn 4 or less. One extreme value has pulled the mean far away from everybody. Here the median is the honest summary. This is exactly why national income and house-price figures are reported as medians.

Worked in full in Mean, Median, Mode and Standard Deviation — When to Use Which.

Learn the method

About this tool

This is one of the tools in the Chemistry Calculator Suite, a free calculator built for IIT-JAM, CSIR-NET, GATE and CUET (Chemical Science) preparation. Nothing is behind a login and no result is stored on a server — the arithmetic runs in your own browser.

The Statistics calculator above is the live tool — type your values and press its button; the answer appears in the same box. The link under it opens the full suite with this tool already selected, next to the others.

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